A decision could be reached as early as Sunday, a source said.
Clawson is 31-31 in five years at Bowling Green. The Falcons (9-3) won the MAC's East Division and beat Northern Illinois on Friday night for the MAC championship.
Lembo is 25-12 in three years at Ball State, including a runner-up finish to NIU in the MAC's West Division this season.
Jim Grobe resigned Monday after 13 seasons at Wake Forest.